QuestionDetermine if the sum is rational or irrational.
Studdy Solution
STEP 1
Assumptions1. We know that a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero.
. We know that an irrational number is a number that cannot be expressed as a ratio of two integers, i.e., it cannot be expressed in the form p/q, where p and q are integers, q ≠0.
3. We know that the sum of a rational number and an irrational number is always an irrational number.
STEP 2
First, identify the type of each number in the sum.
The number is a rational number because it can be expressed as a fraction of two integers.
The number is an irrational number because it cannot be expressed as a fraction of two integers.
STEP 3
Now, according to our third assumption, the sum of a rational number and an irrational number is always an irrational number.
So, the sum is an irrational number.
Was this helpful?
